Four-point curve subdivision based on iterated chordal and centripetal parameterizations

  title={Four-point curve subdivision based on iterated chordal and centripetal parameterizations},
  author={Nira Dyn and Michael S. Floater and Kai Hormann},
  journal={Computer Aided Geometric Design},
Dubuc’s interpolatory four-point scheme inserts a new point by fitting a cubic polynomial to neighbouring points over uniformly spaced parameter values. In this paper we replace uniform parameter values by chordal and centripetal ones. Since we update the parameterization at each refinement level, both schemes are non-linear. Because of this data-dependent parameterization, the schemes are only invariant under solid body and isotropic scaling transformations, but not under general affine… CONTINUE READING


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Publications referenced by this paper.
Showing 1-9 of 9 references

Efficient evaluation of interpolating cubic polynomials

  • K. Hormann
  • Technical Report IfI-08-04,
  • 2008

Interpolation through an iterative scheme

  • S. Dubuc
  • Journal of Mathematical Analysis and Applications…
  • 1986

The Theory of Splines and Their Applications, volume 38 of Mathematics in Science and Engineering

  • J. H. Ahlberg, E. N. Nilson, J. L. Walsh
  • 1967

On the deviation of a parametric cubic spline nterpolant from its data polygon

  • T. Surazhsky.
  • Computer Aided Geometric Design . To appear

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